Finding the Fourth Proportional to 1,299,213,694.62, 1,948,042,282.19 and 413,516,479.91
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Solution
The fourth proportional to 1,299,213,694.62, 1,948,042,282.19 and 413,516,479.91 is: 620,027,013.70
Step by Step Solution
- Step 1: Write the proportion equation
1,299,213,694.62 : 1,948,042,282.19 = 413,516,479.91 : x - Step 2: Convert to fraction form
1,299,213,694.62/1,948,042,282.19 = 413,516,479.91/x - Step 3: Cross multiply
1,299,213,694.62x = 1,948,042,282.19 × 413,516,479.91 - Step 4: Simplify right side
1,299,213,694.62x = 805,547,587,235,243,776 - Step 5: Solve for x
x = 805,547,587,235,243,776/1,299,213,694.62 - Step 6: Final answer
x = 620,027,013.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.